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Irina-Kira [14]
3 years ago
13

Find the value of each variable using sine and cosine round your answers to the nearest tenth​

Mathematics
1 answer:
Fudgin [204]3 years ago
5 0

9514 1404 393

Answer:

  r ≈ 19.0

  s ≈ 17.7

Step-by-step explanation:

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

So, you have ...

  cos(43°) = r/26

  r = 26·cos(43°) ≈ 19.0

__

  sin(43°) = s/26

  s = 26·sin(43°) ≈ 17.7

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Eva8 [605]
You've got halfway through it! All you have to now is set the two equations equal to each other and solve for x.

2500+0.03x=1500+0.035x
1000+0.03x=0.035x
1000=0.005x
200000=x


$200,000

Good luck!
8 0
4 years ago
In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.<br>​
olya-2409 [2.1K]
Need points, don’t use this

Answer is A
3 0
2 years ago
A rectangular yard has a length that is 5 feet more than the width. Around the outside of the yard is a path made of bricks that
Phantasy [73]

Answer:

A) A = X^2 + 11X + 24

B) X = 18 ft

C) 414 ft^2

D) 132 ft^2

Step-by-step explanation:

A) Width W of yard and path = X + 3

Lenght L of path = X + 5 + 3 = X + 8 ft, therefore,

Area of yard and path = L x W = (X +3) x (X +8)

A = X^2 + 11X + 24

B) if area of the yard and path is 546 ft^2,

546 = X^2 + 11X + 24

X^2 +115X - 522 = 0 (quadratic equation)

Solving the quadratic equation gives

X = 18 and X = -29

Our answer can only be positive so we choose X = 18 ft

C) lenght of yard = 5 + 18 = 23 ft

Width = 18 ft

Therefore area = L x W = 23 x 18 = 414 ft^2

D) area of path = area of path and yard minus area of yard

= 546 - 414 = 132 ft^2

7 0
3 years ago
4r-3=3(3r+4) what is r
baherus [9]

Answer:

r=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4r−3=3(3r+4)

4r+−3=(3)(3r)+(3)(4)(Distribute)

4r+−3=9r+12

4r−3=9r+12

Step 2: Subtract 9r from both sides.

4r−3−9r=9r+12−9r

−5r−3=12

Step 3: Add 3 to both sides.

−5r−3+3=12+3

−5r=15

Step 4: Divide both sides by -5.

−5r

−5

=

15

−5

Mark me brainliest if this helped :D

5 0
3 years ago
Read 2 more answers
What are all of the powers of 3 in the range 3 through 1000
Mkey [24]
The first one is 3 . To find each of the others, multiply the previous one by 3 .
6 0
4 years ago
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